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Critical Point Approaches to Difference Equations of Kirchhoff-Type

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Differential and Difference Equations with Applications (ICDDEA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

Abstract

In this paper, using variational methods and critical point theory we discuss the existence of at least three solutions for nonlinear Kirchhoff-type difference equations with Dirichlet boundary conditions. We also provide examples in order to illustrate the main results.

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Author information

Authors and Affiliations

  1. Faculty of Sciences, Department of Mathematics, Razi University, 67149, Kermanshah, Iran

    Shapour Heidarkhani

  2. Faculty of Mathematical Sciences, Department of Mathematics, University of Mazandaran, Babolsar, Iran

    Ghasem A. Afrouzi & Shahin Moradi

  3. Department of Economics, University of Messina, via dei Verdi, 75, Messina, Italy

    Giuseppe Caristi

Authors
  1. Shapour Heidarkhani
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  2. Ghasem A. Afrouzi
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  3. Shahin Moradi
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  4. Giuseppe Caristi
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Corresponding author

Correspondence to Giuseppe Caristi .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Engenharia, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  3. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  4. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    John R. Graef

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Heidarkhani, S., Afrouzi, G.A., Moradi, S., Caristi, G. (2018). Critical Point Approaches to Difference Equations of Kirchhoff-Type. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_4

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